1. **State the problem:** Subtract the expression $(3.5x - 10)$ from $(4.5x - 5)$, i.e., compute $(4.5x - 5) - (3.5x - 10)$. 2. **Recall the subtraction rule:** When subtracting expressions, distribute the minus sign to each term in the second parentheses: $(a - b) - (c - d) = a - b - c + d$. 3. **Apply the rule:** $$(4.5x - 5) - (3.5x - 10) = 4.5x - 5 - 3.5x + 10$$ 4. **Combine like terms:** - Combine the $x$ terms: $4.5x - 3.5x = 1x$ - Combine the constants: $-5 + 10 = 5$ 5. **Write the simplified expression:** $$x + 5$$ 6. **Conclusion:** The result of the subtraction is $x + 5$. Therefore, the correct choice is **$x + 5$**.